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On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case

Trevelyan, J.; Coates, G.

Authors

G. Coates



Abstract

The terminology "wave boundary elements" relates to boundary elements enriched in the Partition of Unity sense by a multiple plane wave basis for the analysis of the propagation of short wavelength waves. This paper presents a variant of this approach in which the plane wave basis is selected adaptively according to an error indicator. The error indicator is residual based, and exhibits useful local and global properties. Model improvement in each adaptive iteration is carried out by the addition of new plane waves with no h-refinement. The convergence properties of the scheme are demonstrated.

Citation

Trevelyan, J., & Coates, G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering & Sciences, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147

Journal Article Type Article
Publication Date Jan 1, 2010
Deposit Date May 11, 2010
Publicly Available Date Mar 29, 2024
Journal Computer modeling in engineering & sciences : CMES.
Print ISSN 1526-1492
Electronic ISSN 1526-1506
Publisher Tech Science Press
Peer Reviewed Peer Reviewed
Volume 55
Issue 2
Pages 147-170
DOI https://doi.org/10.3970/cmes.2010.055.147
Keywords Wave scattering, Plane wave basis, Boundary integral equation, Boundary elements, Adaptivity.

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